The Legacy of Greece: Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield
Philosophy
The Legacy of Greece: Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield
Greece -- Civilization
To quote from a brilliant review of a well-known work: 'To be a Greek
was to seek to know, to know the primordial substance of matter, to know
the meaning of number, to know the world as a rational whole. In no
spirit of paradox one may say that Euclid is the most typical Greek: he
would know to the bottom, and know as a rational system, the laws of the
measurement of the earth. Plato, too, loved geometry and the wonders of
numbers; he was essentially Greek because he was essentially
mathematical.... And if one thus finds the Greek genius in Euclid and
the _Posterior Analytics_, one will understand the motto written over
the Academy, μηδεις αγεωμετρητος εισιτω {mêdeis ageômetrêtos eisitô}. To
know what the Greek genius meant you must (if one may speak εν αινιγματι
{en ainigmati}) begin with geometry.'
Mathematics, indeed, plays an important part in Greek philosophy: there
are, for example, many passages in Plato and Aristotle for the
interpretation of which some knowledge of the technique of Greek
mathematics is the first essential. Hence it should be part of the
equipment of every classical student that he should have read
substantial portions of the works of the Greek mathematicians in the
original, say, some of the early books of Euclid in full and the
definitions (at least) of the other books, as well as selections from
other writers. Von Wilamowitz-Moellendorff has included in his
_Griechisches Lesebuch_ extracts from Euclid, Archimedes and Heron of
Alexandria; and the example should be followed in this country.
Acquaintance with the original works of the Greek mathematicians is no
less necessary for any mathematician worthy of the name. Mathematics is
a Greek science. So far as pure geometry is concerned, the
mathematician's technical equipment is almost wholly Greek. The Greeks
laid down the principles, fixed the terminology and invented the methods
_ab initio_; moreover, they did this with such certainty that in the
centuries which have since elapsed there has been no need to
reconstruct, still less to reject as unsound, any essential part of
their doctrine.
Public-domain text, read in full here on John Shaqi.
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